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Finding the Fourth Proportional to 165,810.60, 248,715.90 and 77,237.10

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Solution

The fourth proportional to 165,810.60, 248,715.90 and 77,237.10 is: 115,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,810.60 : 248,715.90 = 77,237.10 : x
  2. Step 2: Convert to fraction form
    165,810.60/248,715.90 = 77,237.10/x
  3. Step 3: Cross multiply
    165,810.60x = 248,715.90 × 77,237.10
  4. Step 4: Simplify right side
    165,810.60x = 19,210,094,839.89
  5. Step 5: Solve for x
    x = 19,210,094,839.89/165,810.60
  6. Step 6: Final answer
    x = 115,855.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.